What is the Least Common Multiple of 6707 and 6713?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 6707 and 6713 is 45024091.
LCM(6707,6713) = 45024091
Least Common Multiple of 6707 and 6713 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6707 and 6713, than apply into the LCM equation.
GCF(6707,6713) = 1
LCM(6707,6713) = ( 6707 × 6713) / 1
LCM(6707,6713) = 45024091 / 1
LCM(6707,6713) = 45024091
Least Common Multiple (LCM) of 6707 and 6713 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6707 and 6713. First we will calculate the prime factors of 6707 and 6713.
Prime Factorization of 6707
Prime factors of 6707 are 19, 353. Prime factorization of 6707 in exponential form is:
6707 = 191 × 3531
Prime Factorization of 6713
Prime factors of 6713 are 7, 137. Prime factorization of 6713 in exponential form is:
6713 = 72 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 6707 and 6713.
LCM(6707,6713) = 191 × 3531 × 72 × 1371
LCM(6707,6713) = 45024091
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